Question: 5. (6+2 pts; extra credit only for section 412 , required for other sections) Prove that if a heuristic is consistent, it must be admissible.

 5. (6+2 pts; extra credit only for section 412 , required

5. (6+2 pts; extra credit only for section 412 , required for other sections) Prove that if a heuristic is consistent, it must be admissible. Construct an admissible heuristic that is not consistent. Hint: For the first part, use induction on the number of steps between a node n and the goal

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